(4x-17)+(6x+27)=180

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Solution for (4x-17)+(6x+27)=180 equation:


Simplifying
(4x + -17) + (6x + 27) = 180

Reorder the terms:
(-17 + 4x) + (6x + 27) = 180

Remove parenthesis around (-17 + 4x)
-17 + 4x + (6x + 27) = 180

Reorder the terms:
-17 + 4x + (27 + 6x) = 180

Remove parenthesis around (27 + 6x)
-17 + 4x + 27 + 6x = 180

Reorder the terms:
-17 + 27 + 4x + 6x = 180

Combine like terms: -17 + 27 = 10
10 + 4x + 6x = 180

Combine like terms: 4x + 6x = 10x
10 + 10x = 180

Solving
10 + 10x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 10x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 180 + -10
10x = 180 + -10

Combine like terms: 180 + -10 = 170
10x = 170

Divide each side by '10'.
x = 17

Simplifying
x = 17

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